Solve 2x*36x=9

$$2x \times 36x=9$$

Solve for x

$$x=\frac{\sqrt{2}}{4}\approx 0.353553391$$

$$x=-\frac{\sqrt{2}}{4}\approx -0.353553391$$

Steps by Finding Square Root

Multiply x and x to get x^{2}.

$$2x^{2}\times 36=9$$

Multiply 2 and 36 to get 72.

$$72x^{2}=9$$

Divide both sides by 72.

$$x^{2}=\frac{9}{72}$$

Reduce the fraction \frac{9}{72} to lowest terms by extracting and canceling out 9.

$$x^{2}=\frac{1}{8}$$

Take the square root of both sides of the equation.

$$x=\frac{\sqrt{2}}{4} x=-\frac{\sqrt{2}}{4}$$

Steps Using the Quadratic Formula

Multiply x and x to get x^{2}.

$$2x^{2}\times 36=9$$

Multiply 2 and 36 to get 72.

$$72x^{2}=9$$

Subtract 9 from both sides.

$$72x^{2}-9=0$$

This equation is in standard form: ax^{2}+bx+c=0. Substitute 72 for a, 0 for b, and -9 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\times 72\left(-9\right)}}{2\times 72}$$

Square 0.

$$x=\frac{0±\sqrt{-4\times 72\left(-9\right)}}{2\times 72}$$

Multiply -4 times 72.

$$x=\frac{0±\sqrt{-288\left(-9\right)}}{2\times 72}$$

Multiply -288 times -9.

$$x=\frac{0±\sqrt{2592}}{2\times 72}$$

Take the square root of 2592.

$$x=\frac{0±36\sqrt{2}}{2\times 72}$$

Multiply 2 times 72.

$$x=\frac{0±36\sqrt{2}}{144}$$

Now solve the equation x=\frac{0±36\sqrt{2}}{144} when ± is plus.

$$x=\frac{\sqrt{2}}{4}$$

Now solve the equation x=\frac{0±36\sqrt{2}}{144} when ± is minus.

$$x=-\frac{\sqrt{2}}{4}$$

The equation is now solved.

$$x=\frac{\sqrt{2}}{4} x=-\frac{\sqrt{2}}{4}$$